General Mathematics, Vol. 4, 1996


Petru Teodor Craciunas -- On the Sobolev spaces (I)


Abstract: In this note, starting by Mikusinski's definition of distributions [3], developed by the author in [1], [2], we present some characterizations of the Sobolev spaces by means of fundamental sequences and, finally, a direct proof of the Sobolev'"s injection theorem.

Classification (MSC91): 46E35

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